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netineya [11]
3 years ago
11

Starting from rest on a frictionless floor you move 160 kg crate accelerated by a net force of 60N applied for 4s. Enter units f

or acceleration as m/s^2.
What is the acceleration of the crate from Newton’s 2nd law?

If it starts from rest, how far does it travel in time of 4 s?

How much work is done by the 60N net force?

What is the velocity of the crate at the end of 4s?

What is the kinetic energy of the crate at this time?

Physics
1 answer:
NeTakaya3 years ago
8 0

1. Acceleration: 0.375 m/s^2

Newton's second law states that the net force on an object is equal to the product between the object's mass and its acceleration:

F = ma

where

F is the net force

m is the mass

a is the acceleration

For the crate in this problem we have

F = 60 N

m = 160 kg

Re-arranging the equation, we can find the acceleration of the crate:

a=\frac{F}{m}=\frac{60 N}{160 kg}=0.375 m/s^2

2. Distance: 3 m

For this problem we can use the following SUVAT equation:

S=ut+\frac{1}{2}at^2

where

S is the distance travelled by the crate

u = 0 is the initial velocity, since it starts from rest

t = 4 s is the time elapsed

a=0.375 m/s^2 is the acceleration

Substituting all numbers into the equation,

S=0+\frac{1}{2}(0.375)(4)^2=3 m

3. Work done: 180 J

The work done by a force, assuming that the force is parallel to the displacement of the object, is given by

W = F d

where

W is the work done

F is the magnitude of the force

d is the displacement

Here we have

F = 60 N

d = 3 m

So the work done is

W=(60 N)(3 m)=180 J

4. Final velocity: 1.5 m/s

The final velocity of the crate can be found by using the following SUVAT equation:

v^2 = u^2 +2ad

where here

u = 0 is the initial velocity

a=0.375 m/s^2 is the acceleration

d = 3 m is the distance covered

Substituting all the numbers that we have, we found:

v=\sqrt{u^2 +2ad}=\sqrt{0^2+2(0.375)(3)}=1.5 m/s

5. Kinetic energy: 180 J

The kinetic energy of an object is given by

K=\frac{1}{2}mv^2

where

m is the mass of the object

v is the velocity

Here we have

m = 160 kg is the mass of the crate

v = 1.5 m/s is its final velocity

So the kinetic energy of the crate is

K=\frac{1}{2}(160)(1.5)^2=180 J

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Two students walk in the same direction along a straight path at a constant speed. One walks at a speed of 0.90 m/s and the othe
mr Goodwill [35]

Answer:

A. 456 seconds

Explanation:

We are given that two students walk in the same direction along a straight path at a constant speed.

One student walks with a speed=0.90 m/s

second student walks with speed=1.9 m/s

Total distance covered by each students=780 meter

We have to find who is faster and how much time  extra taken by slower student than the faster student.

Time taken by one student who travel with speed 0.90 m/s=\frac{780}{0.90}

Time=\frac{distance}{speed}

Time taken by one student who travel with speed 0.90 m/s

=\frac{780}{0.90}

Time taken by one student who travel with speed 0.90 m/s

=866.6 seconds

Time taken by second student who travel with speed 1.9 m/s=\frac{780}{1.9}

=410.5 seconds

The second student who travels with speed 1.9 m/s is faster than the student travels with speed 0.90 m/s .

Extra time taken by the student travels with speed 0.90 m/s=866.6-410.5=456.1 seconds

Extra time taken by the student travels with speed 0.90 m/s=456 seconds

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What is the kinetic energy of an object with a mass of 50kg and is and it is traveling at a rate of 60m/s.
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Answer:

90,000 J

Explanation:

Kinetic energy can be found using the following formula.

KE=\frac{1}{2}mv^2

where <em>m </em>is the mass in kilograms and <em>v</em> is the velocity in m/s.

We know the object has a mass of 50 kilograms. We also know it is a traveling at a rate of 60 m/s. Velocity is the speed of something, so the velocity of the object is 60 m/s.

<em>m</em>=50

<em>v</em>=60

Substitute these values into the formula.

KE=\frac{1}{2}*50*60^2

First, evaluate the exponent: 60^2. 60^2 is the same as multiplying 60, 2 times.

60^2=60*60=3,600

KE=\frac{1}{2}*50*3,600

Multiply 50 and 3,600

KE=\frac{1}{2}*180,000

Multiply 1/2 and 3,600, or divide 3,600 by 2.

KE=90,000

Add appropriate units. Kinetic energy uses Joules, or J.

KE=90,000 Joules

The kinetic energy of the object is 90,000 Joules

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Answer:

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u = Initial velocity = 0

d = Distance moved by the object = 150 m

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f = Force of friction

fd = Work done against friction

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The work done against friction is 1270.64\ \text{J}.

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