Answer:
v = 4.58 m/s
Explanation:
In order to calculate the speed of the skier when she gets the bottom of the hill, you have to calculate the speed of the skier when she crosses the rough patch.
To calculate the velocity at the final of the rough patch you take into account that the work done by the friction surface is equal to the change in the kinetic energy of the skier:
(1)
Where the minus sign means that the work is against the motion of the skier.
Wf: friction force
m: mass of the skier = 65.0kg
N: normal force = mg
g: gravitational acceleration = 9.8m/s^2
d: distance of the rough patch = 4.00m
v: speed at the end of the rough patch = ?
vo: initial speed of the skier = 6.85m/s
μk: coefficient of kinetic friction = 0.330
You replace the expression for the normal force in the equation (1), and solve for v:
Then, the speed fot he skier at the bottom of the hill is 4.58m/s
Answer:
E = 73.5 J
Explanation:
Given that,
Mass of a marble, m = 5 kg
It is placed at the edge of a 1.5 m table
We need of find the gravitational potential energy of the marble. It is given by the formula as follows :
E = mgh
E = 5 kg × 9.8 m/s² × 1.5 m
E = 73.5 J
So, the potential energy of the marble is 73.5 J.
2kg ball
A=f/m
Higher mass is less acceleration
Explanation:
An elastic band is hung on a hook and a mass is hung on the lower end of the band. When the mass is pulled downward and then released, it vibrates vertically. The equation of motion is given by :
Where
s is in centimeters
t is in seconds
Velocity of the particle,
Acceleration of the particle,
Hence, this is the required solution.