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Q no. 7

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 127

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Short Answer

An object experiencing a constant force accelerates at . What will the acceleration of this object be if

a. The force is doubled? Explain.

b. The mass is doubled?

c. The force is doubled and the mass is doubled?

(a) As the force is doubled, acceleration is doubled

(b) When the mass is doubled, the acceleration will be halved

(c) When both the force and the mass are doubled, the acceleration becomes,

See the step by step solution

Step by Step Solution

Part (a) Step 1: Given Information

The acceleration of the object is .

Part (a) Step 2: Calculation

When the force is doubled, the acceleration will also double. The mass of the object is constant. Hence the acceleration value will increase to

Part (b) Step 1: Given information

The acceleration of the object is .

Part (b) Step 2: Calculation

Since mass and acceleration are inversely proportional to each other, hence when mass is increased, the acceleration will decrease. Therefore, as the mass is doubled, for the same force the acceleration will be reduced by half. Hence the new value of acceleration will be

Part (c) Step 1: Given information

The acceleration of the object is

Part (c) Step 2: Calculation

The force acting on an object is equal to the product of its mass and acceleration as , where is the force, is the mass and is the acceleration. Therefore, the expression for acceleration is When both the force and the mass are doubled, the acceleration becomes,

Hence under the given conditions, the acceleration remains unchanged and its value is again

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