The angle of the wedge is 30°.
Answer:
5.88 ft/s
Explanation:
a) The block will slide down due to it's weight.
initial velocity u= 0
final velocity, v
acceleration, a = g sin 30° = 32 ft/s²× sin 30° = 16 ft/s²
Sliding displacement, s = 3ft
Use third equation of motion:
substitute the values and solve for v
b) Use conservation of momentum:
Initial momentum of the system = 0
final momentum = (15) ( 9.8)+ (25)(v')
v' = 5.88 ft/s
Answer:
4. a = 2 m/s² 5. m = 20 kg
Explanation:
4.
Mass of the book, m = 2kg
The net force acting on the book, F = 4 N
Let a is the acceleration of the book. We know that,
F = ma
Put all the values,
So, the acceleration of the book is equal to .
5.
Kinetic energy of the car, K = 4000 J
Speed of the car, v = 20 m/s
We need to find the mass of the car. The formula for the kinetic enregy is given by :
So, the mass of the car is equal to 20 kg.
Answer:
False
Explanation:
The object could be in a constant velocity and the sum of both the external torques and the external forces on an object is zero. Newton's first law states that when the total net force is 0 or there is zero force, the object could be at rest OR remain in constant velocity. It's not necessary at rest.
In physics, the rate of power in Watts could be determined by multiplying the voltage in volts, by the current in Amperes. In equation, that would be
P = IV
Substituting the values into the equation,
60 W = I*12V
I = 60/12
I = 5 Amperes
Therefore, a current of 5 Amperes is passing through the yellow wire.
a) The acceleration of the car is
b) The new acceleration would be
Explanation:
a)
The acceleration of a body is equal to the rate of change of the velocity:
where
is the change in velocity
is the time interval considered
For the data of the car in this problem, we have:
is the initial velocity
is the final velocity
is the initial time
is the final time
Substituting, we find the acceleration:
b)
To solve this part, we can apply Newton's second law of motion, which states that the net force applied on a body is equal to the product between its mass and its acceleration:
where
F is the net force
m is the mass
a is the acceleration
The equation can be rewritten as
We observe that the acceleration is directly proportional to the force: therefore, if the force were cut in half, the acceleration will also halve. Therefore, the new acceleration would be
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