The same force thatgives the standard 1 kg mass an acceleration of 1.00m/s 2 act

Question

The same force thatgives the standard 1 kg mass an acceleration of 1.00m/s2 acts first on body A, producing an acceleration of0.450 m/s2, and then on body B,producing an acceleration of 0.322m/s2. Find the acceleration produced when A and B areattached and the same force is applied.
1 m/s2
The same force thatgives the standard 1 kg mass an acceleration of 1.00m/s2 acts first on body A, producing an acceleration of0.450 m/s2, and then on body B,producing an acceleration of 0.322m/s2. Find the acceleration produced when A and B areattached and the same force is applied.
1 m/s2
The same force thatgives the standard 1 kg mass an acceleration of 1.00m/s2 acts first on body A, producing an acceleration of0.450 m/s2, and then on body B,producing an acceleration of 0.322m/s2. Find the acceleration produced when A and B areattached and the same force is applied.
1 m/s2
The same force thatgives the standard 1 kg mass an acceleration of 1.00m/s2 acts first on body A, producing an acceleration of0.450 m/s2, and then on body B,producing an acceleration of 0.322m/s2. Find the acceleration produced when A and B areattached and the same force is applied.
1 m/s2
The same force thatgives the standard 1 kg mass an acceleration of 1.00m/s2 acts first on body A, producing an acceleration of0.450 m/s2, and then on body B,producing an acceleration of 0.322m/s2. Find the acceleration produced when A and B areattached and the same force is applied.
1 m/s2
The same force thatgives the standard 1 kg mass an acceleration of 1.00m/s2 acts first on body A, producing an acceleration of0.450 m/s2, and then on body B,producing an acceleration of 0.322m/s2. Find the acceleration produced when A and B areattached and the same force is applied.
1 m/s2
The same force thatgives the standard 1 kg mass an acceleration of 1.00m/s2 acts first on body A, producing an acceleration of0.450 m/s2, and then on body B,producing an acceleration of 0.322m/s2. Find the acceleration produced when A and B areattached and the same force is applied.
1 m/s2

Explanation / Answer

Use the general F = ma formula, where F is force, m is mass,and a is acceleration. If a force gives 1 kg of mass an acceleration of 1m/s2, you know m and a, so you can find F (F = 1 x1). F equals 1N. Now that you know that F equals 1 N, you can continue to use F= ma to find the masses of body A and body B. For body A, 1 N = 0.450 m/s2 * mass of bodyA. For body B, 1 N = 0.322 m/s2 * mass of bodyB. Now, you just have to solve for the masses of body A and bodyB. You should get about 2.222 kg for body A and 3.105 kg forbody B. Because bodies A and B are attached, you can simply add theirmasses together and treat them as one object. When you apply1 N of force to this one object, you can use F = ma again to getthe acceleration. 1 N = (mass of body A + mass of body B) * acceleration. 1 N = 5.328kg * acceleration acceleration = 0.188 m/s2

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