This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
B) Step 1: Identify the given values. The mass of the object is m = 60 kg. The desired acceleration is a = 10 m s^-2 vertically upwards. The acceleration due to gravity is g = 10 m s^-2. Step 2: Determine the forces acting on the mass. There are two main forces acting on the mass: • The gravitational force (weight) acting downwards: F_g = mg. • The applied force acting upwards: F_applied. Step 3: Calculate the gravitational force. F_g = mg = (60 kg)(10 m s^-2) = 600 N Step 4: Apply Newton's Second Law. The net force (F_net) required to accelerate the mass upwards is the sum of the applied force and the gravitational force (considering direction). Since the acceleration is upwards, the applied force must overcome gravity. F_net = F_applied - F_g Also, according to Newton's Second Law, F_net = ma. So, ma = F_applied - F_g Step 5: Solve for the applied force. Rearrange the equation to solve for F_applied: F_applied = ma + F_g Substitute the values: F_applied = (60 kg)(10 m s^-2) + 600 N F_applied = 600 N + 600 N F_applied = 1200 N The force that has to be exerted is 1200 N. The final answer is B) 1,200N.