Answer:
a. ac = 1844.66 m/s²
b. Fc = 265.63 N
Explanation:
a.
The centripetal acceleration of the ball is given as follows:
ac = v²/r
where,
ac = centripetal acceleration = ?
v = speed of ball = (87 mph)(1 h/ 3600 s)(1609.34 m / 1 mile) = 38.9 m/s
r = radius of path = 82 cm = 0.82 m
Therefore,
ac = (38.9 m/s)²/0.82 m
<u>ac = 1844.66 m/s²</u>
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b.
The centripetal force is given as:
Fc = (m)(ac)
Fc = (0.144 kg)(1844.66 m/s²)
<u>Fc = 265.63 N</u>
Answer:
Time taken for the car to travel a distance of 4.50 m = 1.40 seconds
Explanation:
velocity of toy car = 3.21 m/s
distance travelled by toy car = 4.50 m
Time = ?
Therefore, the time taken for the car to travel a distance of 4.50 m = 1.40 seconds
Answer:h=19.4 m
Explanation:
Given
mass of automobile
Initial height of automobile
Velocity at this instant
If the car stops somewhere at a height
Thus conserving total energy we get
Answer:
Work by normal force is 1335 J
Work by frictional force is -796.8 J
Explanation:
Work done due to applied force is given by the product of magnitude of force and distance pushed.
Work done=Fd
Substituting 178 N for F and 7.5 m for d then
Work done by normal force=178*7.5=1335 J
Work done due to frictional force will be product of normal force, distance and coefficient of kinetic friction.
Work due to frictional force is -0.19*57*9.81*7.5=-796.81725 J
The normal and gravity forces do not work since they are at 90 degrees.