A 54 kg skier starts from rest at the top of a snow - covered hill, reaching a velocity of 12 m/ s in 5.0 s. Calculate the net force acting on the skier.
To calculate the net force acting on the skier, we can use Newton's second law of motion:
F = m * a
Where F is the net force, m is the mass of the skier, and a is the acceleration of the skier.
We can calculate the acceleration using the following equation:
a = (v - u) / t
Where v is the final velocity, u is the initial velocity (0 m/s since the skier starts from rest), and t is the time taken to reach the final velocity.
Given:
m = 54 kg (mass of the skier)
v = 12 m/s (final velocity)
t = 5.0 s (time taken to reach the final velocity)
First, let's calculate the acceleration:
a = (v - u) / t
a = (12 - 0) / 5.0
a = 2.4 m/s²
Now, we can calculate the net force:
F = m * a
F = 54 kg * 2.4 m/s²
F = 129.6 N
Therefore, the net force acting on the skier is 129.6 N.
To calculate the net force acting on the skier, we can use Newton's second law of motion, which states that the net force is equal to the mass times the acceleration of the object.
Given that the skier has a mass of 54 kg, and the velocity changes from 0 m/s to 12 m/s in 5.0 seconds, we can calculate the acceleration using the equation:
Acceleration = (Final velocity - Initial velocity) / Time
Acceleration = (12 m/s - 0 m/s) / 5.0 s
Acceleration = 12 m/s / 5.0 s
Acceleration = 2.4 m/s^2
Now, we can substitute the values into the formula for calculating net force:
Net force = Mass x Acceleration
Net force = 54 kg x 2.4 m/s^2
Net force = 129.6 N
Therefore, the net force acting on the skier is 129.6 Newtons.
To calculate the net force acting on the skier, we can use Newton's second law of motion, which states that the net force (F_net) acting on an object is equal to the mass (m) of the object multiplied by its acceleration (a):
F_net = m * a
In this case, the mass of the skier is given as 54 kg. To determine the acceleration, we can use the equation for average acceleration:
a = (v_final - v_initial) / t
Where:
- v_final is the final velocity of the skier (12 m/s)
- v_initial is the initial velocity of the skier (0 m/s, as the skier starts from rest)
- t is the time it takes for the skier to reach the final velocity (5.0 s)
Plugging in the values:
a = (12 m/s - 0 m/s) / 5.0 s
= 12 m/s / 5.0 s
= 2.4 m/s^2
Now, we can calculate the net force:
F_net = m * a
= 54 kg * 2.4 m/s^2
= 129.6 N
Therefore, the net force acting on the skier is 129.6 N.