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Chapter 4: Problem 28

A large wooden crate is pushed along a smooth, frictionless surface by a force of \(100 \mathrm{N}\). The acceleration of the crate is measured to be $2.5 \mathrm{m} / \mathrm{s}^{2} .$ What is the mass of the crate?

Short Answer

Expert verified
Answer: The mass of the crate is 40 kg.

Step by step solution

01

Write down the given values and the formula

In this case, the given values are: Force (F) = \(100 \thinspace \mathrm{N}\) Acceleration (a) = \(2.5 \thinspace \mathrm{m/s^2}\) We need to find the mass (m) of the crate. The formula we will use is Newton's second law of motion: \(F = ma\)
02

Rearrange the formula to solve for mass

In order to find the mass, we need to rearrange the formula. We can do this by dividing both sides of the equation by acceleration (a): \(m = \dfrac{F}{a}\)
03

Substitute the given values and solve for mass

Now, we can plug in the given values of force and acceleration into the formula and solve for mass: \(m = \dfrac{100 \mathrm{N}}{2.5 \mathrm{m/s^2}}\) \(m = 40 \thinspace \mathrm{kg}\)
04

State the answer

The mass of the crate is \(40 \thinspace \mathrm{kg}\).

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Most popular questions from this chapter

The vertical component of the acceleration of a sailplane is zero when the air pushes up against its wings with a force of \(3.0 \mathrm{kN}\). (a) Assuming that the only forces on the sailplane are that due to gravity and that due to the air pushing against its wings, what is the gravitational force on the Earth due to the sailplane? (b) If the wing stalls and the upward force decreases to \(2.0 \mathrm{kN}\) what is the acceleration of the sailplane?
A truck driving on a level highway is acted on by the following forces: a downward gravitational force of \(52 \mathrm{kN}\) (kilonewtons); an upward contact force due to the road of \(52 \mathrm{kN} ;\) another contact force due to the road of \(7 \mathrm{kN},\) directed east; and a drag force due to air resistance of \(5 \mathrm{kN}\), directed west. What is the net force acting on the truck?
Which of the fundamental forces governs the motion of planets in the solar system? Is this the strongest or the weakest of the fundamental forces? Explain.
Two blocks are connected by a lightweight, flexible cord that passes over a frictionless pulley. If \(m_{1}=3.6 \mathrm{kg}\) and \(m_{2}=9.2 \mathrm{kg},\) and block 2 is initially at rest \(140 \mathrm{cm}\) above the floor, how long does it take block 2 to reach the floor?
Two blocks lie side by side on a frictionless table. The block on the left is of mass \(m\); the one on the right is of mass \(2 m .\) The block on the right is pushed to the left with a force of magnitude \(F,\) pushing the other block in turn. What force does the block on the left exert on the block to its right?
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