First, we need to calculate the force using the formula:
F = Ma
Where: F = force M = mass (300 kg) a = acceleration
To find acceleration, we can use the equation:
a = Δv / t
Where: Δv = change in velocity t = time (10 s)
Given that the final velocity is 0 m/s (since the object comes to a stop) and the initial velocity is unknown, we can calculate the acceleration first. Using the kinematic equation:
Δv = Vf - Vi
Since the object comes to a stop, the final velocity (Vf) is 0 m/s. Therefore:
Δv = 0 - Vi Δv = -Vi
Now, we substitute the values into the acceleration equation:
a = (-Vi) / t
Since the object comes to a stop, Vi = S / t:
Vi = 40 m / 10 s Vi = 4 m/s
Now, we can calculate the acceleration:
a = (-4 m/s) / 10 s a = -0.4 m/s^2
Substitute the values of mass and acceleration into the force equation:
F = 300 kg * (-0.4 m/s^2) F = -120 N
Therefore, the force exerted on the object is -120 Newtons. The negative sign indicates that the force is acting in the opposite direction to the initial velocity of the object.
First, we need to calculate the force using the formula:
F = Ma
Where:
F = force
M = mass (300 kg)
a = acceleration
To find acceleration, we can use the equation:
a = Δv / t
Where:
Δv = change in velocity
t = time (10 s)
Given that the final velocity is 0 m/s (since the object comes to a stop) and the initial velocity is unknown, we can calculate the acceleration first. Using the kinematic equation:
Δv = Vf - Vi
Since the object comes to a stop, the final velocity (Vf) is 0 m/s. Therefore:
Δv = 0 - Vi
Δv = -Vi
Now, we substitute the values into the acceleration equation:
a = (-Vi) / t
Since the object comes to a stop, Vi = S / t:
Vi = 40 m / 10 s
Vi = 4 m/s
Now, we can calculate the acceleration:
a = (-4 m/s) / 10 s
a = -0.4 m/s^2
Substitute the values of mass and acceleration into the force equation:
F = 300 kg * (-0.4 m/s^2)
F = -120 N
Therefore, the force exerted on the object is -120 Newtons. The negative sign indicates that the force is acting in the opposite direction to the initial velocity of the object.