Answer:
204 m
Explanation:
From Newton's second law of motion, the net force (ΣF) on an object is equal to the mass (m) times the acceleration (a). For an object moving at constant acceleration, we can use kinematic equations also known as SUVAT equations to model the motion. For this problem, we will use the equation:
s = ut + ½ at²
where
- s is the displacement (distance and direction)
- u is the initial velocity
- a is the acceleration
- t is the time
First, use Newton's second law of motion to find the acceleration.
ΣF = ma
375 N = (45.0 kg) a
a = 8.33 m/s²
Next, use the kinematic equation to find the displacement.
s = ut + ½ at²
s = (0 m/s) (7.00 s) + ½ (8.33 m/s²) (7.00 s)²
s = 204 m
Rounded to three significant figures, the displacement of the object is 204 meters.
