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A stone is projected in a vertical plane from the ground with a velocity of 5 m/s. at an elevation of 60°. With what velocity, must another stone be projected at an angle of 45° in order to have the same horizontal range? Given g = 10 m/s^2
A projectile is fired at an angle 30 ° from gun that is 45 m above the flat ground, emerging from the gun with a speed of 250 m/s. (a) How long does the projectile remain in air? (b) At what horizontal distance from the firing ground does it strike the ground? (c) What is the velocity of the projectile when it hits the ground?
The pumunary artery which connects the heart to the lungs has an inner radius of 2.6mm and is 8.5cm long. If the pressure drop between the heart and the lungs is 3*10³N/m², what is the average speed of blood in the pumunary artery? Determine volume flow rate of blood. Assume body temperature is 37°C and the coefficient of viscosity of blood is 4*10³ at 37°C
A tensile force of 200N applied to a steel wire of lenght 2m and cross sectional area 0.3mm³ extends it by 0.5cm. calculate the; 1). Tensile stress. 2). Tensile strain. 3). Young's modulus. 4). Strain energy. 5). Strain energy per unit volume.
A certain oscillator satisfies the equation of motion: 𝑥••+ 4x = 0. Initially the particle is at
the point x = √3 when it is projected towards the origin with speed 2.
2.1. Show that the position, x, of the particle at any given time, t, is given by:
x = √3 cos 2t – sin 2t.
The energy stored in a copper wire of cross sectional area 0.5mm² is 0.04J. calculate the force applied to it if its length is 2m. Take young modulus of copper as 1.2×10¹¹Nm^-2.
A string is stretched by 5cm. If a mass of 1kg is dropped from a height of 0.3m onto a spring whose force constant is 400Nm^-¹. Calculate the maximum distance the spring will be compressed
A roller coaster which weighs 640 lb starts from rest at point A and begins to coast down the track. If the frictional force is 5.0lb, how fast will the coaster be going at point B, which is 100 ft down the track and 30 ft below point A, and at point C, which is 50 ft farther along the track and 20 ft higher than point B?
Motion under inverse square law force derivation
The image above is a neat copy of a photo of an electricity meter for a domestic solar array. The display shows the energy we sold to the electricity company on a winter's day. Between 7 a.m. and 5 p.m., how many kilowatt hours did this household sell to the electricity company? E =
E= _____ kW.hrs
. Give your answer to two significant figures.
Each box is 100 W
high and 1 hr
wide.
