All categories

6 days ago

1. A 3.0 kg mass is tied to a rope and swung in a horizontal circle. If the velocity of the mass is 4.0 ms and

Physics

1 answer:

Softa [913]6 days ago

4 0

10.67m/s²

32N

Explanation:

Parameters provided:

Body mass = 3kg

Velocity of the mass = 4m/s

Circle radius = 0.75m

Unknowns:

Centripetal acceleration =?

Centripetal force =?

Solution:

Centripetal force is the inward force necessary for an object to maintain circular motion. It points towards the center:

Centripetal acceleration = $\frac{v^{2} }{r}$

v represents the object's velocity

r represents the radius of the circle

Substituting the values:

Centripetal acceleration = $\frac{4^{2} }{0.75}$

Centripetal acceleration = 10.67m/s²

C = m $\frac{v^{2} }{r}$

m stands for mass

Centripetal force = mass multiplied by centripetal acceleration

= 3 x 10.67

= 32N

To learn more:

Acceleration

You might be interested in

Which statements describe the relationship between the area and the biodiversity of an ecosystem? Check all that apply. Large ec

Yuliya22 [1153]

A larger section of a forest is likely to support more diverse species compared to a smaller section of the same forest. Additionally, a half acre of rainforest is expected to exhibit more biodiversity than a full acre of desert. Biodiversity refers to the variety found within an ecosystem, which encompasses differences among living organisms based on their species and habitats. Generally, ecosystems with larger areas tend to have greater biodiversity; hence, a substantial forest area would likely harbor more biodiversity than a smaller area within it. Similarly, the previous example illustrates that a half acre of rainforest would likely have a higher level of biodiversity compared to one acre of a desert.

3 0

13 days ago

Read 2 more answers

A test car carrying a crash test dummy accelerates from 0 to 30 m/s and then crashes into a brick wall. Describe the direction o

Maru [1056]

Answer:

The direction in which a vehicle accelerates aligns with its velocity direction. However, the force of acceleration works against the car's speed.

Explanation:

The car’s initial acceleration can be found using:

v = v₀ + a t

a = (v-v₀) t

which assumes the initial speed is zero (v₀ = 0 m/s).

a = v / t

a = 300 / t

The acceleration vector matches the direction of the vehicle's movement.

Upon hitting the wall, a force is exerted in the reverse direction to halt the car, thus this acceleration opposes the vehicle’s speed. However, the module should be much greater since the stopping distance is minimal.

5 0

4 days ago

A block of mass m, initially held at rest on a frictionless ramp a vertical distance H above the floor, slides down the ramp and

kicyunya [1025]

Answer:

$\displaystyle W=-m.g.H$

Explanation:

Transformation of Energy

Also known as energy conversion, this refers to the process in which energy shifts from one type to another. In this context, three energy forms are involved. When the object is stationary at the ramp's peak, it possesses gravitational potential energy, calculated as

$U=m.g.H$

As the object descends the frictionless ramp, it converts all its potential energy into kinetic energy, represented as

$\displaystyle K=\frac{m.v^2}{2}$

Thus,

$K=m.g.H$

Ultimately, when the object encounters a rough surface, all energy converts to thermal energy. The work performed by the friction force corresponds to the alteration in kinetic energy, as all velocity is lost in this process:

$\displaystyle W=\Delta E=K_f-K=0-K=-\frac{m.v^2}{2}$

Given the kinetic energy equals the initial potential energy:

$\boxed{\displaystyle W=-m.g.H}$

The negative sign indicates that the work acted against the direction of movement, meaning the force and displacement are 180° apart.

This outcome is independent of the distance D needed to halt the block or the kinetic friction coefficient.

7 0

11 days ago

An airplane cruising at a constant velocity and altitude. Which of the following diagrams best represents the four forces of the

Yuliya22 [1153]

Answer:

Please include the diagrams and repost them.

7 0

1 day ago

You're driving your pickup truck around a curve that has a radius of 22 m.How fast can you drive around this curve before a stee

Sav [1105]

The maximum speed around this curve before a toolbox made of steel slips off the truck bed is: 14.832 m/s

Further explanation

The centripetal force acts on objects in circular motion, directed towards the circle's center.

$\large {\boxed {\bold {F = \frac {mv ^ 2} {R}}}$

F = centripetal force, N

m = mass, Kg

v = linear velocity, m / s

r = radius, m

The velocity directed toward the center of the circle is referred to as linear velocity.

It can be represented as:

$\displaysyle v = 2 \pi.r.f$

r = radius of the circle

f = rotations per second (RPS)

Pickup trucks negotiating a curve are influenced by centripetal forces. To prevent the steel toolbox from slipping off the bed of the truck, the centripetal force acting on it must equal its weight. Should the centripetal force surpass the toolbox's weight, it will fall off.

centripetal force = weight

$\rm \dfrac{mv^2}{r}=mg$