Answer:
The gravitational potential energy of the ball is 13.23 J.
Explanation:
Given;
mass of the ball, m = 0.5 kg
height of the shelf, h = 2.7 m
The gravitational potential energy is given by;
P.E = mgh
where;
m is mass of the ball
g is acceleration due to gravity = 9.8 m/s²
h is height of the ball
Substitute the givens and solve for gravitational potential energy;
PE = (0.5 x 9.8 x 2.7)
P.E = 13.23 J
Therefore, the gravitational potential energy of the ball is 13.23 J.
Answer:
True
Explanation:
This is a universal rule for all standard motor vehicles.
The situation given above is that of the geometric sequence with first term equal to 75 meters and the common ratio equal to 0.40. The sum of the terms for an infinite geometric sequence is expressed in the equation,
S = a1/(1 - r)
Substituting,
S = (75 m) / (1 - 0.4) = 125 m
Therefore, the total distance that the pendulum had swung before finally coming to rest is 125 m.
mass of the box = 20 kg
force of friction on the box due to surface
similarly kinetic friction on it
now the weight of the suspended block will be
so here the weight of the suspended block is less than the limiting friction on it
So here we will say that friction will counter balance the weight of the suspended block and it will not move at all
So acceleration of the box will be zero
Answer:
a) 27.2 rad/min
b) 260 rev/h
Explanation:
The passenger is traveling at 9 mph, this is the tangential speed.
The relation between tangential speed and angular speed is:
v = r * w
Where
v: tangential speed
r: radius
w: angular speed
Also, the radius is
r = d/2
d is the diameter
Therefore:
v = (d * w)/2
Rearranging:
w = 2*v/d
w = (2*9 mile/h)/(58 feet)
We need to convert the feet to miles
w = (2*9 mile/h)/(0.011 miles) = 1636 rad/h
We divide this by 60 to get it in radians per minute
w = 1636/60 = 27.2 rad/min
Now the angular speed is in radians, to get revolutions we have to divide by 2π
n = v/(π*d)
n = (9 mile/h)/(π*0.011 mile) = 260 rev/h
