The final speed of the cart and the bag is 2.2 m/s
Explanation:
We can solve this problem by using the law of conservation of momentum: in fact, in absence of external forces, the total momentum of the bag and the cart must be conserved before and after the collision.
Mathematically:
where:
is the mass of the bag of rice
is the initial velocity of the bag
is the mass of the cart
is the initial velocity of the cart (at rest)
is the final combined velocity of the bag and the cart
Re-arranging the equation and solving for v, we find:
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The pump is powered by an electric motor that drives an impeller, or centrifugal pump. The impeller moves water, called drive water, from the well through a narrow orifice, or jet, mounted in the housing in front of the impeller.
I think it's 3. within an outer arm
Answer:
4.535 N.m
Explanation:
To solve this question, we're going to use the formula for moment of inertia
I = mL²/12
Where
I = moment of inertia
m = mass of the ladder, 7.98 kg
L = length of the ladder, 4.15 m
On solving we have
I = 7.98 * (4.15)² / 12
I = (7.98 * 17.2225) / 12
I = 137.44 / 12
I = 11.45 kg·m²
That is the moment of inertia about the center.
Using this moment of inertia, we multiply it by the angular acceleration to get the needed torque. So that
τ = 11.453 kg·m² * 0.395 rad/s²
τ = 4.535 N·m
The length of the wire used is 3.162 m
<h3>Resistivity of a material</h3>
The formula for calculating the power is expressed as;
P = V²/R
Determine th resistance
R = V²/P
Determine the resistance of the heating coil by substituting
R = (110²/500)
R = 12100/500
R = 24.2ohms
Determine the length of the wire
R = ρL/A such that;
L = RA/ρ
Substitute the given parameters
diameter = 0.5 mm = 0.0005m
radius = 0.0005/2 = 0.00025 m
Determine the area
A = πr²
A = π * 0.00025²
A = 1.96*10^-7 m²
Determine the length
L = (24.2 * 1.96*10^-7 / 1.50*10^-6) =
L = 3.162 m
Hence the length of the wire used is 3.162 m
The length of the wire used is 3.162 m
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