<span>A centripetal force is a force which keeps an object moving in a circle. When the ball is at the top position, let's assume that the speed v is such that the gravitational force is precisely equal to the required centripetal force to keep the ball moving around in a circle. Then the string will not go slack.
centripetal force = force of gravity on the ball
m v^2 / r = m g
v^2 / r = g
v^2 = g r
v = sqrt { g r }
v = sqrt { (9.80~m/s^2) (0.7 m) }
v = 2.62 m/s
The minimum speed of the ball at the top position is 2.62 m/s</span>
Answer:
Maximum Tension=224N
Minimum tension= 64N
Explanation:
Given
mass =8 kg
constant speed = 6m/s .
g=10m/s^2
Maximum Tension= [(mv^2/ r) + (mg)]
Minimum tension= [(mv^2/ r) - (mg)]
Then substitute the values,
Maximum Tension= [8 × 6^2)/2 +(8×9.8)] = 224N
Minimum tension= [8 × 6^2)/2 -(8×9.8)]
=64N
Hence, Minimum tension and maximum Tension are =64N and 2224N respectively
Answer:
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One sustainable use of range land is herd management. This is ensuring that the number of cattle in the habitat does not surpass the carrying capacity of the range land. The other is grassland management. this ensures that the crop is given enough time to re-grow after grazing for a particular period of time. Herd management can be done through castration of bulls in the herd to prevent unregulated increases in the stock population. Grassland management can be done by fencing the range land into the different portions.