Answer:
Explanation:
We know that
Δr = r₁ - r₀
r₀ = 0 i + 0 j
r₁ = (162+137*Cos(31º)+137*Cos(-48º)) i + (0+137*Sin(31º)+137*Sin(-48º)) j = (371.1028 i - 31.2506 j) ft
Δr = r₁ - r₀ = (371.1028 i - 31.2506 j) - (0 i + 0 j) = (371.1028 i - 31.2506 j) ft
Magnitude:
Δr = √((371.1028)²+(-31.2506)²) = 372.4163 ft
Angle:
tan θ = (- 31.2506 / 371.1028) = -0.0839 ⇒ θ = tan⁻¹(-0.0839) = - 4.8135º
(below the horizontal).
Answer:
(a)
(b) h is the same
Explanation:
According to the law of conservation of energy:

The skier starts from rest, so
and we choose the zero point of potential energy in the end of the ramp, so
. We calculate the final speed, that is, the speed when the skier leaves the ramp:

Finally, we calculate the maximum height h above the end of the ramp:

The initial vertical speed is given by:

and the final speed is zero, solving for h:

(b) We can observe that the height reached does not depend on the mass of the skier
Answer:
Promotes Cardiovascular Health. ...
Burns Calories. ...
Builds Bone Strength. ...
Boosts The Immune System. ...
Provides Strength Training. ...
Boosts Mental Development. ...
Develops Better Coordination And Motor Skills. ...
Develops Self-Discipline And Concentration.
Explanation:
Answer:
C
Explanation:
To melt the alcohol
Heat needed = M . L = 2 . 25 = 50 kcal
To warm up the alcohol
Heat needed = M . sp. ht. . ∆t = 2 . 0.6 . 100 = 120 kcal
Total heat needed = 170 kcal
Assuming that 0.6 kcal/ kg / ˚C is the specific heat and that the answer is wanted in kcal ( a rather odd unit to be in use here.)
Answer:
a)
b)N= 21.29 rpm
Explanation:
Given that
Mass of the ball =m
Length of string = L
Lets take angular speed = ω
The centripetal force on the ball
F = m ω² L
To complete the circle ,at the top condition the force due to gravity should be equal to the centripetal force
Gravity force = mg
F= mg
m ω² L = m g
ω² L = g

When L= 2 m
Lets take g =10 m/s²


ω = 2.23 rad/s
To convert in rpm

N=Speed in rpm

N= 21.29 rpm