A heavy box weighing 1000 newtons sits on the floor. You lift upward on the box with a force of 450 newtons, but the box does no
2 answers:
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Answer:
h = 50.49 m
Explanation:
Data provided:
Speed of skier, u = 2.0 m/s
Maximum safe speed of the skier, v = 30.0 m/s
Mass of the skier, m = 85.0
Total work = 4000 J
Height from the starting gate = h
Now, from the law of conservation of energy
Total energy at the gate = total energy at the time maximum speed is reached
where, g is the acceleration due to the gravity
on substituting the values, we get
or
170 + 833.85 × h = 4000 + 38250
or
h = 50.49 m
Answer:
a) The linear acceleration of the car is , b) The tires did 7.46 revolutions in 2.50 seconds from rest.
Explanation:
a) A tire experiments a general plane motion, which is the sum of rotation and translation. The linear acceleration experimented by the car corresponds to the linear acceleration at the center of the tire with respect to the point of contact between tire and ground, whose magnitude is described by the following formula measured in meters per square second:
Where:
- Magnitude of the radial acceleration, measured in meters per square second.
- Magnitude of the tangent acceleration, measured in meters per square second.
Let suppose that tire is moving on a horizontal ground, since radius of curvature is too big, then radial acceleration tends to be zero. So that:
Where:
- Angular acceleration, measured in radians per square second.
- Radius of rotation (Radius of a tire), measured in meters.
Given that and
. The linear acceleration experimented by the car is:
The linear acceleration of the car is .
b) Assuming that angular acceleration is constant, the following kinematic equation is used:
Where:
- Final angular position, measured in radians.
- Initial angular position, measured in radians.
- Initial angular speed, measured in radians per second.
- Angular acceleration, measured in radians per square second.
- Time, measured in seconds.
If ,
,
, the final angular position is:
Let convert this outcome into revolutions: (1 revolution is equal to 2π radians)
The tires did 7.46 revolutions in 2.50 seconds from rest.