answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Allushta
18 days ago
12

The 20-lb cabinet is subjected to the force F = (3 + 2t) lb, where t is in seconds. If the cabinet is initially moving down the

plane with a speed of 6 ft/s, determine how long it takes for the force to bring the cabinet to rest. F always acts parallel to the plane.
Physics
1 answer:
kicyunya [2.2K]18 days ago
6 0

Answer:

t₁ = 0.95 s

Explanation:

In this scenario, we apply Newton's second law, defined as

      F = m a = m dv / dt

      dv = F dt / m

Let's substitute and integrate, considering the upward direction of the plane as positive and that the force is also positive.

       dv = ∫ (3 + 2t) dt / m

       v = (3 t + 2 t²/ 2) /m

Evaluating between the lower limit where t = 0 and v = -6 ft/s (descending) to the upper boundary t = t and v = 0 gives:

       0 - (-6) = (3 (t- 0) + (t² -0)) / m

       t² + 3t -6m = 0

Next, we seek to find the mass:

      W = mg

      m = W / g

      m = 20/32

      m = 0.625 slug

Now let's solve the quadratic equation:

     t² + 3t -3.75 = 0

     t = (-3 ± √ (32 + 4 * 1 * 3.75)) / 2

     t = (-3 ± 4.899) / 2

From this, we have:

     t₁ = 0.95 s

     t₂ = -3.95 s

We select the positive time value.

You might be interested in
If you start with the number 3.0 and move the decimal point one unit to the left, you wind up with 0.30. If you move the decimal
Keith_Richards [2256]

Answer:

10000    

Explanation:

When shifting the decimal point left, the number effectively gets divided by 10 for each movement.

Conversely, shifting it to the right corresponds to multiplying the number by 10 for every unit moved.

If the decimal point is moved four units to the left, it becomes 0.0003, which is equivalent to dividing 3.0 by 10000

\Rightarrow \frac{3.0}{10000} = 0.0003

4 0
8 days ago
A proton (mass = 1.67 10–27 kg, charge = 1.60 10–19 C) moves from point A to point B under the influence of an electrostatic for
serg [2593]

Answer:

20.353125 V

Explanation:

m = Mass of proton = 1.67\times 10^{-27}\ kg

q = Charge of proton = 1.6\times 10^{-19}\ C

v_A = Velocity of proton at point A = 50 km/s

v_B = Velocity of proton at point B = 80 km/s

The relationship derived from energy conservation is as follows:

\dfrac{1}{2}m(v_B^2-v_A^2)=q(V_B-V_A)\\\Rightarrow V_B-V_A=\dfrac{1}{2q}m(v_B^2-v_A^2)\\\Rightarrow V_B-V_A=\dfrac{1}{2\times 1.6\times 10^{-19}}\times 1.67\times 10^{-27}(80000^2-50000^2)\\\Rightarrow V_B-V_A=20.353125\ V

The determined potential difference is 20.353125 V

3 0
22 days ago
A parallel-plate capacitor is constructed of two square plates, size L×L, separated by distance d. The plates are given charge ±
inna [2205]

Answer: A) 2 B) 4 C) 1

Explanation:

The electric field associated with a parallel-plate capacitor is defined as:

A) E=Q/(L^2 * ε0); if we double the charge, the resultant electric field becomes twice as strong as its initial value.

B) Referring to the earlier electric field expression, if the plate size is doubled, the final electric field will be a quarter of the original strength.

C) If the separation distance between the plates is increased twofold, the resulting electric field remains unchanged from its initial state.

3 0
14 days ago
The magnitude of the Poynting vector of a planar electromagnetic wave has an average value of 0.939 W/m2. The wave is incident u
Yuliya22 [2420]

Answer:

The total energy can be expressed as T = 169.02 \ J

Explanation:

The problem states that

The Poynting vector, which measures energy flux, equals k = 0.939 \ W/m^2

The rectangle's length is represented by l = 1.5 \ m

The width of the rectangle is w = 2.0 \ m

The duration considered is t = 1 \ minute = 60 \ s

Mathematically, the overall electromagnetic energy incident on the area is given by

T = k * A * t

where A denotes the area of the rectangle, calculated as

A= l * w

By plugging in the respective values

A= 2 * 1.5

A= 3 \ m^2

Again substituting values

T = 0.939 * 3 * 60

T = 169.02 \ J

5 0
27 days ago
A floating balloon can be formed when the substance helium is released from a compressed container into a flat rubber balloon. T
Softa [2029]
When helium is released from a compressed container, the decompressed atoms expand and rise, causing the rubber balloon to inflate and float along. In this scenario, helium exists in a gaseous state.
6 0
9 days ago
Read 2 more answers
Other questions:
  • In your own words, describe the three steps in ray tracing used to identify where an image forms.
    14·2 answers
  • Imagine you derive the following expression by analyzing the physics of a particular system: a=gsinθ−μkgcosθ, where g=9.80meter/
    6·1 answer
  • A rocket starting from its launch pad is subjected to a uniform acceleration of 100 meters/second2. Determine the time needed to
    11·1 answer
  • A 15.7-g aluminum block is warmed to 53.2 °c and plunged into an insulated beaker containing 32.5 g of water initially at 24.5 °
    13·2 answers
  • A negative oil droplet is held motionless in a millikan oil drop experiment. What happens if the switch is opened?
    9·1 answer
  • A constant-velocity horizontal water jet from a stationary nozzle impinges normally on a vertical flat plate that rides on a nea
    10·1 answer
  • Which occurrence would contradict the big bang theory?
    14·2 answers
  • To what potential should you charge a 2.0 μF capacitor to store 1.0 J of energy?
    15·1 answer
  • All forces on the bullets cancel so that the net force on a bullet is zero, which means the bullet has zero acceleration and is
    5·2 answers
  • A uniform magnetic field of 0.50 T is directed along the positive x axis. A proton moving with a speed of 60 km s enters this fi
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!