A dump truck is being filled with sand. The sand falls straight downward from rest from a height of 2.00 m above the truck bed, and the mass of sand that hits the truck per second is 55.0 kg/s. The truck is parked on the platform of a weight scale. By how much does the scale reading exceed the weight of the truck and sand?
626 N
539 N
214 N
344 N
The correct Answer is:D
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Knowledge Check
- Question 1 - Select One
A 2−m wide truck is moving with a uniform speed v0=8ms−1 along a straight horizontal road. A pedestrian starts to cross the road with a uniform speed v when the truck is 4m away from him, The minimum value of v so that he can cross the road safely is .
A2.62 m/sB4.6 m/sC3.57 m/sD1.414 m/s - Question 1 - Select One
A box is put on a scale which is adjusted to read zero, when the box is empty. A stream of pebbles is then poured into the base from a height h above its bottom at a rate of n pebbles/s. Each pebble has a mass m. If the pebbles collide with the box such that they immediately come to rest after collision, then the scale reading at time t after the pebbles begin to fill the box is [ neglect piling up of pebbles]
AmntBmn[√2gh+gt]CmngtDzero - Question 1 - Select One
A shot putter with a mass of 80kg pushes the iron ball of mass of 6kg from a standing position accelerating it uniformly form rest at an angle of 45∘ with the horizontal during a time interval of 0.1 seconds. The ball leaves his hand when it 2m high above the level ground and hits the ground 2 seconds later (g=10m/s2).
The minimum value of the static coefficient of friction if the shot putter does not slip during the shot is closest to .A0.28B18mC20mD22m - Question 1 - Select One
An inquistive student, determined to test the law of gravity for himself, walks to the top of a building og 145 floors, with every floor of height 4 m, having a stopwatch in his hand (the first floor is at a height of 4 m from the ground level). From there he jumps off with negligible speed and hence starts rolling freely. A rocketeer arrives at the scene 5 s later and dives off from the top of the building to save the student. The rocketeer leaves the roof with an initial downward speed v0. In order to catch the student at a sufficiently great height above ground so that the rocketeer and the student slow down and arrive at the ground with zero velocity. The upward acceleration that accomplishes this is provided by rocketeer's jet pack, which he turns on just as he catches the student, before the rocketeer is in free fall. To prevent any discomfort to the student, the magnitude of the acceleration of the rocketeer and the student as they move downward together should not exceed 5 g.
Just as the student starts his free fall, he presses the button of the stopwatch. When he reaches at the top of 100th floor, he has observed the reading of stopwatch as 00:00:06:00 (hh:mm:ss:100 th part of the second). Find the value of g. (correct upt ot two decimal places).A10.00ms−2B9.25ms−2C9.75ms−2D9.50ms−2
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