Question

35 n -35 n a 105 kg person pushes a 14 kg lamp to the left with -35 n of force. which object accelerates more quickly? 14 kg 105 kg the person not enough information. the lamp accelerations are equal.

Explanation:

Step1: Recall Newton's Third Law

The force the person exerts on the lamp (\(F_{person \to lamp} = - 35\space N\)) is equal in magnitude and opposite in direction to the force the lamp exerts on the person (\(F_{lamp \to person} = 35\space N\)). So, the magnitude of the force acting on both the person and the lamp is \(F = 35\space N\).

Step2: Recall Newton's Second Law (\(F = ma\))

We can solve for acceleration \(a=\frac{F}{m}\).

Step3: Calculate acceleration of the lamp

The mass of the lamp \(m_{lamp}=14\space kg\) and the force \(F = 35\space N\). Using \(a=\frac{F}{m}\), we get \(a_{lamp}=\frac{35}{14}=2.5\space m/s^{2}\).

Step4: Calculate acceleration of the person

The mass of the person \(m_{person}=105\space kg\) and the force \(F = 35\space N\). Using \(a=\frac{F}{m}\), we get \(a_{person}=\frac{35}{105}=\frac{1}{3}\approx0.33\space m/s^{2}\).

Step5: Compare the accelerations

Since \(2.5\space m/s^{2}>0.33\space m/s^{2}\), the lamp has a greater acceleration.

Answer:

The lamp