The answer is 30.
Explanation:
4m•(3)=12m
10•(3)=30
Answer:
3.03°
Explanation:
Given that
Height of the tree branch, h = 4.5 m
Distance of the veterinarian away, d = 85.5 m
The vet is to aim at the monkey at a particular angle. If we consider the force of gravity that will be acting on the dart. Then the angle that will be needed will be calculated as this.
So the angle is
Tan θ = opposite / adjacent
Tan θ = 4.5 m/ 85.5 m
Tan θ = 0.053, then
θ = Tan^-1 (0.053)
θ = 3.03°
Therefore, the angle needed is 3.03°
Answer:
(a) 31.44 m/s (b) 164.74 m/s²
Explanation:
Given that,
The diameter of a disk, d = 12 cm
Radius, r = 6 cm
Angular speed = 5.24 rad/s
(a) Linear speed,
(b) Centripetal acceleration,
Speed is the distance traveled
time
but velocity is the change in distance
time
Answer:
72 meters
Explanation:
The puck is acted upon by a force of friction between it and the ice. The strength of that force is relatively low on ice (coefficient of 0.1), that's why we have so much fun sliding over frozen puddles.
The force is determined as follows:
(friction) = (norm force of surface) x (kinetic coefficient of friction)
and it acts perpendicularly to the norm force, i.e., horizontally/parallel to ice surface. (the norm force is the opposite to gravity here).
(friction) = 0.20kg*9.8m/s^2*0.10 = 0.20N
So the puck experiences a deceleration of 0.20N/0.20kg=1 m/s^2.
The distance the puck makes is then calculated using the kinematic equation for decelerated motion with initial velocity v0 (and final velocity of 0):
The puck traveled 72m, unless it hit another hockey player, a tree, or a hole in ice.