Answer:
153.54 cm³
Explanation:
The formula for the volume of a cube is v = lwh, where l is the length, w is the width, and h is the height of the block. Multiply, 6.21*4.63*5.34 = 153.54
The other two bulbs stay lit with the same brightness.
Answer:
Explanation:
acceleration of an object on an inclined plane due to gravitational pull
= g sinθ . This acceleration is irrespective of mass of the object coming down . It only depends on the inclination .
If θ is larger , sinθ will be larger hence gravitational acceleration on inclined surface will be greater . It happens so because a component of weight mg is acting on the body . This component is mgsinθ . The other component mgcosθ acts perpendicular to surface hence it does not contribute to its acceleration .
acceleration produced = force / mass
= mgsinθ / m
= gsinθ .
in the given case , the inclination of plane with mass m₁ is less , hence its downward acceleration will be lesser as compared with the acceleration of m₂ which is put on a surface with greater inclination .
1.53 m/s toward the beach
Explanation:
The magnitude of the velocity of the runner is given by:
where
d is the displacement of the runner
t is the time taken
In this case, d=110 m and t=72 s, so the velocity of the runner is
Velocity is a vector, so it consists of both magnitude and direction: we already calculate the magnitude, while the direction is given by the problem, toward the beach.
Answer:
fr = 269.3 N
Explanation:
Let's use Newton's second law, for this it is good to see the attached diagram,
X axis
fr -F2 = 0
fr = F2
Y Axis
N-W = 0
We must include the rotation balance, place the rotation point at the bottom of the ladder and take the positive counterclockwise turns.
Σ τ = 0
F2 x -W y / 2 = 0
We look for x and y with trigonometry
sin 70 = y / L
cos 70 = x / L
y = L sin70
x = L cos 70
We substitute and calculate F2
F2 L cos 70 = W L sin 70 / 2
F2 = mg/2 tan 70
F2 = 20 9.8/2 tan 70
F2 = 269.3 N
From the first equation (x axis)
fr = F2
fr = 269.3 N