Answer:
C) 1200 rpm
Explanation:
= Diameter of bigger pulley = 24 inch
= Diameter of smaller pulley = 8 inch
= Speed of bigger pulley = 400 rpm
= Speed of smaller pulley
The relation between revolutions per minute and diameter is that they are inversely proportional.
The number of revolutions per minute of the smaller pulley is 1200 rpm
The amount of energy transferred is 4320 J
Explanation:
Power is defined as the amount of energy transferred per unit of time:
where
P is the power
E is the amount of energy transferred
t is the time
In this problem, we have:
P = 720 W is the power
t = 6 s is the time elapsed
Solving for E, we find the energy transferred needed to push the box:
Learn more about power:
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Let and be the vectors, and let be their common magnitude.
The resultant is times larger in magnitude than either vector alone, so .
Recall the dot product identity
where is the angle between the vectors and . In the special case of , we get
Now, to get the angle between and , we have
To compute the dot product, we take the dot product of the resultant with itself.
Solve for .
Since their dot product is zero, and are perpendicular, so .
5 mins
Explanation:
because speed ÷ to distance since the distance is 5 miles the answer is 5mins if not it's 0.2 if the teacher incorrect it
Mass of the car = 1200 kg
Mass of the truck = 2100 kg
Total mass of car and truck = 2100 + 1200 = 3300 kg
Since, the car pushes the truck. Hence, they will move together and will have same acceleration.
Let the acceleration be a.
According to Newton's second law:
F(net) = ma
F = 4500 N
4500 = 3300 × a
a = 1.36 m/s^2
Let the force applied by the car on truck be F.
F = F(net) on the truck
F = ma
F = 2100 × 1.36
F = 2856 N
Hence, the force applied by the car on the truck is 2856 N