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suter
3 months ago
14

A cart with an unknown mass is at rest on one side of a track. A student must find the mass of the cart by using Newton’s second

law. The student attaches a force probe to the cart and pulls it while keeping the force constant. A motion detector rests on the opposite end of the track to record the acceleration of the cart as it is pulled. The student uses the measured force and acceleration values and determines that the cart’s mass is 0.4kg . When placed on a balance, the cart’s mass is found to be 0.5kg . Which of the following could explain the difference in mass?
Answer choices:

A) The track was not level and was tilted slightly downward.

B) The student did not pull the cart with a force parallel to the track.

C) The wheels contain bearings that were rough and caused a significant amount of friction.

D) The motion sensor setting was incorrect. The student set it up so that motion away from the sensor would be the negative direction.
Physics
1 answer:
Maru [3.3K]3 months ago
5 0

Explanation:

D) The motion sensor was improperly configured. The student arranged it to consider motion away from the sensor as moving in a negative direction.

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A baseball thrown at an angle of 60.0° above the horizontal strikes a building 16.0 m away at a point 8.00 m above the point fro
Ostrovityanka [3204]

Answer:

a) v_{o} =16m/s

b) v=9.8m/s

c) \beta =-35.46º

Explanation:

According to the problem, the distance from the building where the ball hits is 16m, and its final elevation exceeds the initial height by 8m.

With this information, we can compute the ball’s starting speed.

a) Let's first assess the horizontal trajectory.

x=v_{ox}t

x=v_{o}cos(60)t

v_{o}=\frac{x}{tcos(60)}=\frac{16m}{tcos(60)} (1)

This gives us our initial equation.

Next, we need to examine the vertical trajectory.

y=y_{o}+v_{oy}t+\frac{1}{2}gt^2

y_{o}+8=y_{o}+v_{o}sin(60)t-\frac{1}{2}(9.8)t^2

Utilizing v_{o} in our first equation (1)

8=\frac{16}{tcos(60)}sin(60)t-\frac{1}{2}(9.8)t^2

\frac{1}{2}(9.8)t^2=16tan(60)-8

Now let’s solve for t.

t=\sqrt{\frac{2(16tan(60)-8)}{9.8} } =2s

The ball takes two seconds to reach the adjacent building, allowing us to compute its initial speed.

v_{o}=\frac{16m}{(2s)cos(60)}=16m/s

b) To determine the velocity magnitude just before impact, we must calculate both x and y components.

v_{x}=v_{ox}+at=16cos(60)=8m/s

v_{y}=v_{oy}+gt=16sin(60)-(9.8)(2)=-5.7m/s

The computed velocity magnitude is:

v=\sqrt{v_{x}^{2}+v_{y}^{2}}=\sqrt{(8m/s)^2+(-5.7m/s)^2}=9.8m/s

c) The ball's angle is:

\beta=tan^{-1}(\frac{v_{y} }{v_{x}})=tan^{-1}(\frac{-5.7}{8})=-35.46º

4 0
3 months ago
The Lamborghini Huracan has an initial acceleration of 0.75g. Its mass, with a driver, is 1510 kg.
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Answer:

11109.825 N

Explanation:

Provided Information:

mass = m = 1510 kg

initial acceleration (a) = 0.75g (where g = 9.81 m/s²)

Using the formula F=ma

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3 months ago
A friend climbs an apple tree and drops a 0.22-kg apple from rest to you, standing 3.5 m below. When you catch the apple, you br
Keith_Richards [3271]
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As the parachutist is descending at a steady rate

we can conclude that

a = \frac{dv}{dt}

Acceleration indicates the change in velocity

given the constant velocity in this scenario

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Thus, in this situation, we find the acceleration to be zero

It’s understood from Newton's second law

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Here, the force due to gravity

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F_gHence, we can deduce

F_b

therefore

F_g - F_b = 0

as such the upward force is counteracted by the downward force.

5 0
2 months ago
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